Fungsi Invers Eksplorasi 1.8 Hal 38-39 Bab 1 FUNGSI INVERS Kelas 11 SMA Kurikulum Merdeka

Summary

In this mathematics lesson, students learn about inverse functions and their compositions. The instructor explains how a function representing a 20% discount and a fixed discount of Rp 10,000 interact through composition. Students derive the expressions for these functions and explore their inverses to determine original prices from final prices. The lesson emphasizes critical thinking by validating the properties of inverse functions. Through practical examples, learners grasp essential concepts of function composition and inverses, equipping them with skills to tackle real-world pricing problems effectively.

Takeaways

• 😀 The lesson focuses on the composition of functions and their inverses, specifically for high school students in Indonesia.
• 📚 Students will investigate the inverse of a function related to a toy store's pricing after discounts.
• 💵 A 20% discount is applied to the original price, reducing it to 80% of the original value.
• 💰 The second discount of Rp10,000 is applied after the first discount has been calculated.
• 🔄 The mathematical representation of the first function (f) considers the 20% discount, expressed as f(x) = 0.8x.
• 📏 The second function (g) reflects the discount of Rp10,000 applied to the price after the initial discount.
• 🤔 The relationship between the final price and the functions is explored through function composition.
• 🔍 The differences between the two function compositions are examined, highlighting the order of operations.
• 🔄 The inverse functions are derived and used to find the original price based on the final price given.
• 🧠 The lesson emphasizes critical thinking regarding function inverses and their properties in mathematics.

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